Problem 5A 1/4-in-thick beam OAB is fixedto the wall at one end and supported by a 1/2-in-diameter rod at the other end, as shown in the figure.inFThe beam and the rod are both made of 1018 CD steeldia.with E = 30 x 106 psi and Sy= 54 x 103 psi. The1500 lbf is applied as shown. Determine the12 in2 in -in thickload Fdeflection at point B.A-12 in6 inHint: The cases below can be helpful.1 Cantilever- end load2 Cantilever-intermediate loadFxFxYAB=6EI(x -- 3a)y =(31)6EIFFa6EIУвс(a - 3x)

The beam which is rigidly held at one end and free to oscillate or deflect at the other end is…

Problem 5 A 1/4-in-thick beam OAB is fixed to the wall at one end and supported by a 1/2-in- diameter rod at the other end, as shown in the figure. in F The beam and the rod are both made of 1018 CD steel dia. 12 in with E = 30 x 106 psi and S, = 54 x 103 psi. The 2 in -in thick load F = 1500 lbf is applied as shown. Determine the deflection at point B. 12 in 6 in Hint: The cases below can be helpful. 1 Cantilever-end load 2 Cantilever-intermediate load Ex YAB = 6EI (x-3a) Fx y (x- 31) Fa (a-3x) 6EI 6EI YBC =

Problem 5 A 1/4-in-thick beam OAB is fixed to the wall at one end and supported by a 1/2-in- diameter rod at the other end, as shown in the figure. in F The beam and the rod are both made of 1018 CD steel dia. 12 in with E = 30 x 106 psi and S, = 54 x 103 psi. The 2 in -in thick load F = 1500 lbf is applied as shown. Determine the deflection at point B. 12 in 6 in Hint: The cases below can be helpful. 1 Cantilever-end load 2 Cantilever-intermediate load Ex YAB = 6EI (x-3a) Fx y (x- 31) Fa (a-3x) 6EI 6EI YBC =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

PROBLEM NO. 3 A rigid beam is being supported by three suspender bars made of bronze and loaded as shown in the figure. The cross-sectional area of each bar is 498 mm² Determine the average axial stress in each bar. A B 88 kN 2 m D 1m 59 KN 1m E 1m 1m C F
An aluminum bar having a cross-sectional area of 160 mm2 carries the axial loads at the positions shown in the figure. If Modulus of elasticity is 70 GPa, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling.
Gg
A uniform beam, 1.5 metre long, is suspended in a horizontal position by two vertical support rods as shown in the figure below. Rod A has a diameter of 12 mm and manufactured from steel with Esteel = 210 GPa. Rod B has a diameter of 16 mm and is made from copper with Ecopper = 105 GPa. This simply supported beam is to carry a motor vehicle engine and gearbox weighing 5,5 kN. Determine the distance ‘x’ from the left-hand support ‘A’ in order for the beam to remain in a horizontal position. Calculate the stress in each rod due to the applied load. Calculate the movement (extension) of the support wires under this 10 kN load. Will the rods be able to withstand the applied load? Motivate your answer.
The rigid beam BC shown in Figure is supported by rods (1) and (2) that have cross-sectional areas of 175 mm2 and 300 mm2, respectively. For a uniformly distributed load of w = 15 kN/m, determine the normal stress in each rod. Assume L = 3 m and a = 1.8 m.
6
(c) An aluminium bar having a cross-sectional area of 0.5 in² carries the axial loads applied at the positions shown in Figure. Compute the total change in length of the bar if E = 10× 106 psi. Assume the bar is suitably braced to prevent lateral buckling. 6000 lb 7000 lb <<5000 lb 4000 lb 3 ft 5 ft 4 ft
5. Determine the allowable axial load PA for a W250 x 67 steel wide-flange column with pinned ends (see figure below) using a Factor of Safety n=1.5 for the following lengths: L-3 m, 5m, 8 m and 10 m. Assume E-200,000 MPa, and G-300 MPa. 7 L A Pl A ISTE Section A-A
5. A long slender column ABC is pinned at ends A and C and compressed by an axial force P (see figure below). At the midpoint B, lateral support is provided to prevent deflection in the plane of the figure. The column is a steel wide-flange section with E= 200 GPa. The distance between lateral supports is L = 6.0 m. Calculate the allowable load P using a factor of safety n = 2.0, taking-int- account the possibility of Euler buckling about either principal centroidal axis (i.e., axis 1-1 or axis 2- 2). Use Table F-1(b) in Appendix F (attached) to find section values. X B A ======================= X L L 2 W 250 x 67 Hi 2 Section X-X
A uniform concrete slab of total weight W is to be attached, as shown in the figure, to two rods whose lower ends are on the same level. Determine the ratio of the areas of the rods so that the slab will remain level. Figure P-215 Steel E - 29 x 10 psi Aluminum E - 10 x 10 psi L- 4 ft L-6R Total Weight = w 3 ft 6 ft The value of the load P at the aluminum 0.33 W b. 0.67 W с. W d. none of the above The ratio between the internal reactions of the aluminum and the steel 2.03 b. 0.49 c. 0.67 d. none of the above The ratio between area of steel and area of the aluminun 0.867 b. 0.409 c. 0.258 d. none of these If the value of W is limited to 1500 lb, which of the statements is true? The maximum load the steel can carry is greater than of the aluminum The maximum load the aluminum can carry is greater than of the stell The sum of loads at the steel and the aluminum is twice the value of steel The deformation developed at the steel is greater than that of aluminum If the cross-sectional area…
///// Figure 1. In the figure shown, a bar ABC with negligible mass carries a 20. kN load and is supported by pin at A and a rof at B. Determine the diameter of the pin A = 900 mm? L= 3 m. cable at A it is double shear. E = 70 GPa 3 m. 2 m. Double shear A B C 60° P = 20 kN
The horizontal beam ABC shown in thefigure is supported by columns BD and CE. Thebeam is prevented from moving horizontally bythe pin support at end A. Each column is pinned atits upper end to the beam, but at the lower ends, supportD is a sliding support and support E is pinned.Both columns are solid steel bars (E = 30 x 106 psi)of square cross section with width equal to 0.625 in.A load Q acts at distance a from column BD.(a) If the distance a = 12 in., what is the criticalvalue Qcr of the load?(b) If the distance a can be varied between 0 and40 in., what is the maximum possible value ofQcr? What is the corresponding value of thedistance a?